7­2 Equations and Grouping Symbols.notebook
October 04, 2012
Solve each equation. Click the box to reveal the answer.
Solving Equations with Variables on Both Sides 1. x + 8 = -3
x = -11
2. 2p -5 = -11
3. 36 = 6 - 5n
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p = -3
n = -6
Reviewing
is a good
idea!
Translate and solve.
4. Four times a number plus two is the same
as a negative 14.
x = -4
Solving Equations with Variables with Grouping SymbolsGo to
Distribute, if necessary.
Solving Equations with Variables with Grouping Symbols
Go to
Example 2
Example #1:
Go to
Example 3
3(2x + 1) + 2x = 5x + 12
3(2x + 1)Practice
+ 2x = 5x + 12
Pull
Combine like terms on the same side,
if necessary.
Step 2
Example 1
Video: Real
World Problem
Pull
HOMEWORK
Step 3
Pull
Move your variables to the same side
using opposite operations.
Step 5
Solve for your variable.
Distribute
Move variables together.
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Simplify
Move constants together
Simplify
Back to
steps.
Pull
Step 4
Watch me
on this first
one?
Combine like terms
Pull
Move your constants to the same side
using opposite operations.
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Erase the box to reveal
the steps.
pull
Step 1
Pull
Record the following steps in your notebook.
We will refer to these steps throughout the lesson.
Press for
example 2
Solve
Teacher Notes
Teacher Notes: Drag the arrows together to see the problem worked out. You may choose to work out the problem after revealing each step instead of dragging the arrows together.
Solving Equations with Variables with Grouping Symbols
Solving Equations with Variables with Grouping Symbols
Example #2: 19x+8-8x = 4(5x+2)+36
19x+8-8x = 4(5x+2) + 36
Let's Do
this Together
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Example #3: 4(2p-8)-6p = 20+4(p+6)
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Try this one
by yourself.
Work this problem in the blue box.
Move the problem to the gray box to reveal the solution.
4(2p-8)-6p = 20+4(p+6)
8p-32-6p = 20+4p+24
2p - 32= 4p+ 44
2p-4p-32 = 4p-4p+44
-2p-32 = 44
-2p-32+32=44+32
-2p=76 (divide)
p = -38
Did You
Get It
Right?
yes
no
Answer hidden here!
Bring the magnifying glass over.
Back to
steps.
x = -4
Press for
example 3
Back to
steps.
More Practice
1
7­2 Equations and Grouping Symbols.notebook
Practice with a Partner
Roll the number cube to create a
new equation to solve.
October 04, 2012
Back to
steps.
Finding Perimeter
Video
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Homework
Find the dimensions (length and width) of the rectangle.
P = 124 m
w
w + 32
Step 1: Write equation
Step 2: Follows steps given.
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Practice. Solve each problem and show
the work that justifies each answer.
Real World Application:
Homework
Watch the video to see a real world example of solving equations with variables on both sides.
Workbook pg. 49 all
1. 4(3x - 10) = 10(x - 3)
2. 7x + 5 - 2x = 3x - 17
3. ½(6x + 8) + 3x = 5x + 25
4. 15x = 10x - 30
Back to
steps.
Answers:
1.Teacher
x = 5
2.Notes
x = -11
3. x = 21
4. x = -6
click here to watch video
Teacher Notes: You may stop the video after the problem is presented to Teacher Notes
allow the students to work it out
Back to
steps.
Homework
2
Attachments
real world application.wpl